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Finding the Fourth Proportional to 25,839.40, 35,652.84 and 16,900

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Solution

The fourth proportional to 25,839.40, 35,652.84 and 16,900 is: 23,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,839.40 : 35,652.84 = 16,900 : x
  2. Step 2: Convert to fraction form
    25,839.40/35,652.84 = 16,900/x
  3. Step 3: Cross multiply
    25,839.40x = 35,652.84 × 16,900
  4. Step 4: Simplify right side
    25,839.40x = 602,532,996
  5. Step 5: Solve for x
    x = 602,532,996/25,839.40
  6. Step 6: Final answer
    x = 23,318.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.